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101,504

101,504 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
405,101
Square (n²)
10,303,062,016
Cube (n³)
1,045,802,006,872,064
Divisor count
32
σ(n) — sum of divisors
221,340
φ(n) — Euler's totient
46,080
Sum of prime factors
88

Primality

Prime factorization: 2 7 × 13 × 61

Nearest primes: 101,503 (−1) · 101,513 (+9)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 61 · 64 · 104 · 122 · 128 · 208 · 244 · 416 · 488 · 793 · 832 · 976 · 1586 · 1664 · 1952 · 3172 · 3904 · 6344 · 7808 · 12688 · 25376 · 50752 (half) · 101504
Aliquot sum (sum of proper divisors): 119,836
Factor pairs (a × b = 101,504)
1 × 101504
2 × 50752
4 × 25376
8 × 12688
13 × 7808
16 × 6344
26 × 3904
32 × 3172
52 × 1952
61 × 1664
64 × 1586
104 × 976
122 × 832
128 × 793
208 × 488
244 × 416
First multiples
101,504 · 203,008 (double) · 304,512 · 406,016 · 507,520 · 609,024 · 710,528 · 812,032 · 913,536 · 1,015,040

Sums & aliquot sequence

As a sum of two squares: 152² + 280² = 200² + 248²
As consecutive integers: 7,802 + 7,803 + … + 7,814 1,634 + 1,635 + … + 1,694 269 + 270 + … + 524
Aliquot sequence: 101,504 119,836 89,884 74,420 84,466 43,514 21,760 33,428 26,464 25,700 30,286 17,594 10,246 5,594 2,800 4,888 5,192 — unresolved within range

Continued fraction of √n

√101,504 = [318; (1, 1, 2, 12, 1, 1, 1, 1, 9, 2, 1, 4, 1, 24, 1, 1, 1, 39, 6, 6, 4, 1, 5, 1, …)]

Representations

In words
one hundred one thousand five hundred four
Ordinal
101504th
Binary
11000110010000000
Octal
306200
Hexadecimal
0x18C80
Base64
AYyA
One's complement
4,294,865,791 (32-bit)
Scientific notation
1.01504 × 10⁵
As a duration
101,504 s = 1 day, 4 hours, 11 minutes, 44 seconds
In other bases
ternary (3) 12011020102
quaternary (4) 120302000
quinary (5) 11222004
senary (6) 2101532
septenary (7) 601634
nonary (9) 164212
undecimal (11) 6a297
duodecimal (12) 4a8a8
tridecimal (13) 37280
tetradecimal (14) 28dc4
pentadecimal (15) 2011e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραφδʹ
Mayan (base 20)
𝋬·𝋭·𝋯·𝋤
Chinese
一十萬一千五百零四
Chinese (financial)
壹拾萬壹仟伍佰零肆
In other modern scripts
Eastern Arabic ١٠١٥٠٤ Devanagari १०१५०४ Bengali ১০১৫০৪ Tamil ௧௦௧௫௦௪ Thai ๑๐๑๕๐๔ Tibetan ༡༠༡༥༠༤ Khmer ១០១៥០៤ Lao ໑໐໑໕໐໔ Burmese ၁၀၁၅၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101504, here are decompositions:

  • 3 + 101501 = 101504
  • 37 + 101467 = 101504
  • 127 + 101377 = 101504
  • 157 + 101347 = 101504
  • 163 + 101341 = 101504
  • 181 + 101323 = 101504
  • 211 + 101293 = 101504
  • 223 + 101281 = 101504

Showing the first eight; more decompositions exist.

Unicode codepoint
𘲀
Khitan Small Script Character-18C80
U+18C80
Other letter (Lo)

UTF-8 encoding: F0 98 B2 80 (4 bytes).

Hex color
#018C80
RGB(1, 140, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.140.128.

Address
0.1.140.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.140.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 101,504 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 101504 first appears in π at position 797,000 of the decimal expansion (the 797,000ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.